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1 1. Let ui = u2 = 2 and u = U3 -5 Let Wi = Span{u, u2} and W2 Span{u3, u4}. %3D (a) Show that the subspaces W1 and W2 are orthogonal to each other. (b) Write the vector y = 8 as a sum of a vector in W1 and a vector in W2.

1 1. Let ui = u2 = 2 and u = U3 -5 Let Wi = Span{u, u2} and W2 Span{u3, u4}. %3D (a) Show that the subspaces W1 and W2 are orthogonal to each other. (b) Write the vector y = 8 as a sum of a vector in W1 and a vector in W2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Let uj = -5 and u = u2 = U3 = 5 Let W1 = Span{u1,u2} and W2 = Span{u3, u4}. (a) Show that the subspaces W1 and W2 are orthogonal to each other. 2 (b) Write the vector y = as a sum of a vector in W1 and a vector in W2.
Transcribed Image Text:1. Let uj = -5 and u = u2 = U3 = 5 Let W1 = Span{u1,u2} and W2 = Span{u3, u4}. (a) Show that the subspaces W1 and W2 are orthogonal to each other. 2 (b) Write the vector y = as a sum of a vector in W1 and a vector in W2.
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